Maximizing Shipping Volume Operations Management In a business, operations management is concerned with all ofthe functions that are involved in the process of creating and distributing the company's products or services. In a distribution company like Amazon, for example, operations means making sure orders are processed on time, product is packaged and shipped properly and returns are properly entered and credited to the customer. Amazon does this using a fleet of automated robots1 and complex software that tracks their movements and the location of every object in the warehouse. Operations managers and analysts are responsible for designing and maintaining systems like this that maximize the effectiveness of an operation. When managing the shipping process, operations analysts work to minimize a company's shipping costs by choosing the proper packaging size, negotiating terms with transport companies like UPS and FedEx and following the shipping policies of those companies. In the following scenario, you'll assume the role of an operations analyst who has to determine the best possible size of a shipping container based on UPS's size limitations. The Scenario UPS defines the size of a box to be equal to its length plus twice its width plus twice its height: size = length + 2 - width + 2- height In order to avoid being charged freight charges, the size of a package has to be less than 165\" and the length has to be less than 10'8\".2 You work for a wine producer who ships wine bottles in rectangular boxes that are 13\" x 4" x 4\". The individual boxes are packaged into larger rectangular boxes for shipping. In order to go through the company's production line, the height of the boxes has to be 13". For practical reasons, the boxes have to be shipped with the bottles upside right. The company wants to minimize its shipping costs so they need to send as few of the large boxes as possible. What size box will hold the maximum number of the smaller boxes